The unconditional pointwise convergence of orthogonal seriesin $L_2$ over a von Neumann algebra

Ewa Hensz; Ryszard Jajte; Adam Paszkiewicz

ArticleOriginal scientific text

Title

The unconditional pointwise convergence of orthogonal seriesin $L_{2}$ over a von Neumann algebra

Authors ¹, ¹, ¹

Affiliations

Institute of Mathematics, Łódź University, Banacha 22, 90-238 Łódź, Poland

Abstract

The paper is devoted to some problems concerning a convergence of pointwise type in the

L_{2}

-space over a von Neumann algebra M with a faithful normal state Φ [3]. Here

L_{2} = L_{2} (M, Φ)

is the completion of M under the norm

x \to {| x |}^{2} = Φ {(x \cdot x)}^{\frac{1}{2}}

.

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Title

The unconditional pointwise convergence of orthogonal seriesin L2 over a von Neumann algebra

Affiliations

Abstract

Bibliography

The unconditional pointwise convergence of orthogonal seriesin $L_{2}$ over a von Neumann algebra